Kinetic Modeling of Fed-Batch Bio-Reactor Volume for the Treatment of Industrial Wastes

KINETIC MODELING OF FED-BATCH BIO-REACTOR VOLUME FOR THE TREATMENT OF INDUSTRIAL WASTES

IDONGESIT EFFIONG SAMPSON; CHUKWUEMEKA PETER UKPAKA; CHUKWUEMEKA PAUL AMADI; JACKSON GUNORUBON AKPA; DAVID N. OGBONNA; ANIMIA AJOR WORDU.

Rivers State University, Port Harcourt, Nigeria.

E-mail: idongesit.sampson@ust.edu.ng

Phone: +234 (0) 7082658042

ABSTRACT

A Fed-Batch Bio-reactor volume changes as the industrial wastes (feed) is put into the reactor. This change in volume is a function of time and is equal to the rate at which the wastes is fed into the reactor. The reactor has to be filled to this volume before the outlet valve could be opened. The volume of the bio-reactor is therefore the volume of the content of the reactor and hence it could be found using materials balance equation. To find this volume, four kinetic models were derived, one for the concentration of Biomass, one for the concentration of industrial wastes, one for the volume of industrial wastes to be filled into the bio-reactor and one for the volume of the bio-reactor cylindrical space. These kinetic models solved with the help of a MATLAB program gave the volume of industrial wastes to be filled into the bio-reactor, the volume of the bio-reactor cylindrical space, the concentration of biomass and the concentration of the industrial wastes in the bio-reactor for a Hydraulic Retention Time (HRT) of five days, hydraulic retention time being the time taken to attain the Nigerian Federal Environmental Protection Agency (FEPA) discharge limits. The volume of the bio-reactor on the day Nigerian FEPA discharge limits were attained was taken as the volume of the bio-reactor. This gave 25.0 m3 for volume of industrial wastes to be filled into the bio-reactor and 32.35 m3 for volume of the bio-reactor cylindrical space. The kinetic models were validated using Root Mean Square Error (RMSE). A Root Mean Square Error of 0.85 shows that 85% of the variability in the data set was explained by the kinetic models.

KEYWORDS:

Fed-Batch; Bio-reactor; Kinetic model; Rate of reaction; Volumetric feed-rate; Industrial Wastes.

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Sampson, I.E; Ukpaka, C.P; Amadi, C.P; Akpa, J.G; Ogbonna, D.N & Wordu, A.A (2021). Kinetic Modeling of Fed-Batch Bio-Reactor Volume for the Treatment of Industrial Wastes. International Journal of Advanced Academic Research, 7(12), pp100-126. Available online at: https://www.ijaar.org/articles/v7n12/ste/ijaares-v7n12-Dec21- p71255.pdf.

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